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Finding the Fourth Proportional to 1,110.65, 1,664.15 and 379.83

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Solution

The fourth proportional to 1,110.65, 1,664.15 and 379.83 is: 569.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.65 : 1,664.15 = 379.83 : x
  2. Step 2: Convert to fraction form
    1,110.65/1,664.15 = 379.83/x
  3. Step 3: Cross multiply
    1,110.65x = 1,664.15 × 379.83
  4. Step 4: Simplify right side
    1,110.65x = 632,095.04
  5. Step 5: Solve for x
    x = 632,095.04/1,110.65
  6. Step 6: Final answer
    x = 569.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.